Condition Numbers and Eigenvalue Spectra of Shallow Networks on Spheres
arXiv:2511.02625v2 Announce Type: replace-cross Abstract: We present an estimation of the condition numbers of the emph{mass} and emph{stiffness} matrices arising from shallow ReLU$^k$ neural networks defined on the unit sphere~$mathbb{S}^d$. In particular, when ${theta_j^*}_{j=1}^n subset mathbb{S}^d$ is emph{antipodally quasi-uniform}, the…
